技術者教育のための工学数理の力学教材の改定(2) : 振子の運動とDuffing方程式

概要

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In accordance with the continuous spiral-up process as Plan-Do-Check-Act, some education materials in Engineering Science have been updated in the way of PBL (Project/Problem Based Learning) at the Department of Digital Engineering. Based upon the motion of a pendulum with an excitation, the Mathieu equation and the Duffing equation are derived using Lagrange function for model pendulums. Initial value problems for the equations are solved numerically by means of the Runge-Kutta integration. For the Duffing equation, the subharmonie and higher harmonic excitations and the hysteresis and chaos phenomena are observed in the numerical simulation, which are then compared with simulation results in the electric circuits with nonlinear elements. The education material updated here provides students with problems to obtain problem-solving techniques and skills and to apply the method of solution to various relevant problems.
沼津工業高等専門学校の論文
2007-01-31